In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies by Archimedes of the usage of levers. Just as a linear force is a push or a pull, a torque can be thought of as a twist to an object around a specific axis. Another definition of torque is the product of the magnitude of the force and the perpendicular distance of the line of action of a force from the axis of rotation. The symbol for torque is typically
τ
{\displaystyle {\boldsymbol {\tau }}}
or τ, the lowercase Greek letter tau. When being referred to as moment of force, it is commonly denoted by M.
In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the position vector (distance vector) and the force vector. The magnitude of torque of a rigid body depends on three quantities: the force applied, the lever arm vector connecting the point about which the torque is being measured to the point of force application, and the angle between the force and lever arm vectors. In symbols:
{\displaystyle \tau =\|\mathbf {r} \|\,\|\mathbf {F} \|\sin \theta \,\!}
where
τ
{\displaystyle {\boldsymbol {\tau }}}
is the torque vector and
τ
{\displaystyle \tau }
is the magnitude of the torque,
r
{\displaystyle \mathbf {r} }
is the position vector (a vector from the point about which the torque is being measured to the point where the force is applied),
F
{\displaystyle \mathbf {F} }
is the force vector,
×
{\displaystyle \times }
denotes the cross product, which produces a vector that is perpendicular to both r and F following the right-hand rule,
θ
{\displaystyle \theta }
is the angle between the force vector and the lever arm vector.The SI unit for torque is the newton-metre (N⋅m). For more on the units of torque, see § Units.
Homework Statement
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Homework Statement
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Homework Equations
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Homework Statement
[/B]
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Homework Statement
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Homework Statement
The torque ## \vec{τ} ## on a body about a given point is found to be equal to ## \vec{A} × \vec{L} ## where ##\vec{A}## is a constant vector, and ##\vec{L}## is the angular momentum of the body about that point. From this it follows: (Multiple answers correct)
(A) ##...
Homework Statement
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Homework Statement
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Homework Statement
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Homework Statement
At the instant illustrated, which best describes the angular momentum of the ball and net torque on the ball, as measured around the origin?
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Homework Equations
torque= (F)x(r)
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Homework Statement
http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_frq_physics_c_mechanics.pdf
The problem is above. It is number 3.
The solutions are below:
http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_physics_cm_scoring_guidelines.pdf
Homework...
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Homework Statement
Homework Equations
ΣM=Στ
The Attempt at a Solution
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Homework Statement
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Homework Statement
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1. Homework Statement
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1. Homework Statement
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The definition of torque is τ= r x F
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Homework Statement
https://web.njit.edu/~gary/111/assets/HW10_SOL.pdf'][/PLAIN]
https://web.njit.edu/~gary/111/assets/HW10_SOL.pdf
The problem is on page 3 of the document along with relevant solutions.
Homework Equations
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Homework Statement
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Homework Equations
sum of all horizontal forces = 0
sum of all vertical forces = 0
sum of all torques = 0
The Attempt at a Solution
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Moment
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Homework Statement
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Homework Statement
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Homework Statement
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Homework Statement
. What is the angular acceleration if a force of 3 N is applied perpendicular to the radius of a 5 kg solid sphere that has a radius of 0.6 meters?
Homework Equations
= r x F
I = mr^2
The Attempt at a Solution
I used
tried solving for angular acce.
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Homework Statement
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Homework Statement
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